On generalized euler spirals in E3

Abstract

The Cornu spirals on plane are the curves whose curvatures are linear. Generalized planar cornu spirals and Euler spirals in E3, the curves whose curvatures are linear are deÖned in [1,5]. In this study, these curves are presented as the ratio of two rational linear functions. Also here, generalized Euler spirals in E3 has been defined and given their some various characterizations. The approach we used in this paper is useful in understanding the role of Euler spirals in E3 in di§erential geometry.